If “the purpose of life is to contribute in some way to making things better”, how might we make mathematics better?

Teachers often explain multiplication and division with repeated addition and subtraction. Yet such approaches do not extend beyond the positive integers. By contrast, the ideas of René Descartes and Isaac Newton on multiplication and division can be extended from the naturals to the reals. So, I reveal how, if they were alive today, they might explain multiplication and division visually in ways seldom seen in western mathematics curriculums.

A New Model of Multiplication via Euclid

ABOUT In 1968 at age 7 in Grade 2, Jonathan J. Crabtree noticed Euclid's definition of multiplication made no sense. Two added to itself three times is 8, not 6, as people have said for centuries. (HINT 2 added to itself once is 4.)
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Jonathan went on to explore hundreds of original source mathematics books & manuscripts spanning 16 languages. Euclid's definition of multiplication had been incorrectly translated into English in 1570 and was NEVER corrected!
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Jonathan's recent published paper and conference presentation titled, The Lost Logic of Elementary Mathematics reveals when why and how western mathematics education came to be filled with mis-truths, contradictions and inconsistencies.